(10%) Problem 5: Consider three forces.\\
$\vec{F}_1 = (341 \text{ N})\hat{i} + (544 \text{ N})\hat{j}$\\
$\vec{F}_2 = (-154 \text{ N})\hat{i} + (-694 \text{ N})\hat{j}$\\
Note that the components of $\vec{F}_3$ are initially unknown, and the net force is zero.\\
50% Part (a) What is the magnitude, in newtons, of $\vec{F}_3$?\
$F_3 = $\\
N\
Hints: 0 for a 0% deduction. Hints remaining: 0\
50% Part (b) What is the direction of $\vec{F}_3$? Express your answer as an angle, in degrees, measured clockwise from the negative x axis.